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== Theory ==
== Theory ==
As an equal temperament, 50et [[tempering out|tempers out]] [[81/80]] in the [[5-limit]], making it a [[meantone]] system, and in that capacity has historically drawn some notice; it is a somewhat sharp approximation of [[2/7-comma meantone]] (and is almost exactly 5/18-comma meantone). In [http://lit.gfax.ch/Harmonics%202nd%20Edition%20%28Robert%20Smith%29.pdf "Harmonics or the Philosophy of Musical Sounds"] (1759) by Robert Smith, a musical temperament is described where the octave is divided into 50 equal parts – 50edo, in one word. Later, {{w|W. S. B. Woolhouse}} noted it was fairly close to the [[Target_tunings|least squares]] tuning for 5-limit meantone. 50edo, however, is especially interesting from a higher-limit point of view. While [[31edo]] extends meantone with a [[7/4]] which is nearly pure, 50 has a flat 7/4 but both [[11/8]] and [[13/8]] are nearly pure. It is also the highest edo where the mapping of [[9/8]] and [[10/9]] to the same interval is [[consistent]], with two stacked fifths falling almost exactly 3/7-syntonic-comma sharp of 10/9 and 4/7-comma flat of 9/8. It also maps all [[15-odd-limit]] intervals consistently, with the sole exceptions of 11/9 and 18/11.
As an equal temperament, 50et [[tempering out|tempers out]] [[81/80]] in the [[5-limit]], making it a [[meantone]] system, and in that capacity has historically drawn some notice; it is a somewhat sharp approximation of [[2/7-comma meantone]] (and is almost exactly 5/18-comma meantone). In [http://lit.gfax.ch/Harmonics%202nd%20Edition%20%28Robert%20Smith%29.pdf "Harmonics or the Philosophy of Musical Sounds"] (1759) by Robert Smith, a musical temperament is described where the octave is divided into 50 equal parts – 50edo, in one word. Later, {{w|W. S. B. Woolhouse}} noted it was fairly close to the [[Target_tunings|least squares]] tuning for 5-limit meantone. 50edo, however, is especially interesting from a higher-limit point of view. While [[31edo]] extends meantone with a [[7/4]] which is nearly pure, 50 has a flat 7/4 but both [[11/8]] and [[13/8]] are nearly pure. It is also the highest edo where the mapping of [[9/8]] and [[10/9]] to the same interval is [[consistent]], with two stacked fifths falling almost exactly 3/7-syntonic-comma sharp of 10/9 and 4/7-comma flat of 9/8. It is also almost consistent to the no-21s [[25-odd-limit]], only barely missing consistent mapping of [[11/9]] and [[18/11]].


It tempers out [[126/125]], [[225/224]] and [[3136/3125]] in the [[7-limit]], indicating it [[support]]s septimal meantone; [[245/242]], [[385/384]] and [[540/539]] in the [[11-limit]] and [[105/104]], [[144/143]] and 196/195 in the [[13-limit]], and can be used for even higher limits. Aside from meantone and its extension [[meanpop]], it can be used to advantage for the [[coblack]] temperament (15 & 50), and provides the optimal patent val for 11- and 13-limit [[Meantone family #Bimeantone|bimeantone]]. It is also the unique equal temperament tempering out both 81/80 and the [[vishnuzma]], {{monzo| 23 6 -14 }}, so that in 50edo seven chromatic semitones stack to a perfect fourth. By comparison, this gives a perfect fifth in 12edo, a doubly diminished fifth in 31edo, and a diminished fourth in 19edo.
50edo is also quite strong in the realm of tertian harmony for a meantone system, as the errors on [[7/6]], [[6/5]], [[5/4]], and [[9/7]] are all balanced to be roughly half as flat as the fifth, meaning that this set of thirds taken as a whole is minimally out-of-tune given the damage induced by meantone. Though it fails to approximate [[11/9]] well by virtue of not having a perfect hemififth, it inherits the excellent [[16/13]] from [[10edo]] and additionally has a 1.2{{c}} flat [[13/11]], providing even more qualities of roughly just thirds alongside their more complex [[fifth complement]]s.


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|50|columns=15}}
{{Harmonics in equal|50|intervals=odd|columns=11}}
{{Harmonics in equal|50|intervals=odd|columns=12|start=12|collapsed=true|title=Approximation of odd harmonics in 50edo (continued)}}
 
=== As a tuning of other temperaments ===
50et tempers out [[126/125]], [[225/224]] and [[3136/3125]] in the [[7-limit]], indicating it [[support]]s septimal meantone; [[245/242]], [[385/384]] and [[540/539]] in the [[11-limit]] and [[105/104]], [[144/143]] and 196/195 in the [[13-limit]], and can be used for even higher limits. Aside from meantone and its extension [[meanpop]], it can be used to advantage for the [[coblack]] temperament (15 & 50), and provides the optimal patent val for 11- and 13-limit [[Meantone family #Bimeantone|bimeantone]]. It is also the unique equal temperament tempering out both 81/80 and the [[vishnuzma]], {{monzo| 23 6 -14 }}, so that in 50edo seven chromatic semitones stack to a perfect fourth. By comparison, this gives a perfect fifth in 12edo, a doubly diminished fifth in 31edo, and a diminished fourth in 19edo.


=== Relations ===
=== Relations ===
Line 18: Line 22:
! #
! #
! Cents
! Cents
! Ratios<ref group="note">{{sg|13-limit}}</ref>
! Ratios<ref group="note">{{sg|50edo|limit=13-limit}}</ref>
! colspan="3" | [[Ups and downs notation]]
! colspan="3" | [[Ups and downs notation]]
([[Enharmonic unisons in ups and downs notation|EUs]]: v<sup>3</sup>A1 and vvd2)
|-
|-
| 0
| 0
| 0
| 0
| 1/1
| [[1/1]]
| Perfect 1sn
| Perfect 1sn
| P1
| P1
Line 30: Line 35:
| 1
| 1
| 24
| 24
| 45/44, 49/48, 56/55, 65/64, 66/65, 78/77, 91/90, 99/98, 100/99, 121/120, 169/168
| ''[[45/44]]'', [[49/48]], [[56/55]], [[65/64]],<br> [[66/65]], [[78/77]], [[91/90]], [[99/98]],<br> [[100/99]], [[121/120]], ''[[169/168]]''
| Up 1sn
| Up 1sn
| ^1
| ^1
Line 37: Line 42:
| 2
| 2
| 48
| 48
| 27/26, 33/32, 36/35, 50/49, 55/54, 64/63
| ''[[27/26]]'', [[33/32]], [[36/35]],<br> ''[[50/49]]'', ''[[55/54]]'', ''[[64/63]]''
| Dim 2nd, Downaug 1sn
| Dim 2nd, Downaug 1sn
| d2, vA1
| d2, vA1
Line 44: Line 49:
| 3
| 3
| 72
| 72
| 21/20, 25/24, 26/25, 28/27
| ''[[21/20]]'', [[25/24]], [[26/25]], [[28/27]]
| Aug 1sn, Updim 2nd
| Aug 1sn, Updim 2nd
| A1, ^d2
| A1, ^d2
Line 51: Line 56:
| 4
| 4
| 96
| 96
| 22/21
| ''[[22/21]]''
| Downminor 2nd
| Downminor 2nd
| vm2
| vm2
Line 58: Line 63:
| 5
| 5
| 120
| 120
| 16/15, 15/14, 14/13
| [[16/15]], [[15/14]], [[14/13]]
| Minor 2nd
| Minor 2nd
| m2
| m2
Line 65: Line 70:
| 6
| 6
| 144
| 144
| 13/12, 12/11
| [[13/12]], [[12/11]]
| Upminor 2nd
| Upminor 2nd
| ^m2
| ^m2
Line 72: Line 77:
| 7
| 7
| 168
| 168
| 11/10
| [[11/10]]
| Downmajor 2nd
| Downmajor 2nd
| vM2
| vM2
Line 79: Line 84:
| 8
| 8
| 192
| 192
| 9/8, 10/9
| [[9/8]], [[10/9]]
| Major 2nd
| Major 2nd
| M2
| M2
Line 86: Line 91:
| 9
| 9
| 216
| 216
| 25/22
| [[25/22]]
| Upmajor 2nd
| Upmajor 2nd
| ^M2
| ^M2
Line 93: Line 98:
| 10
| 10
| 240
| 240
| 8/7, 15/13
| [[8/7]], [[15/13]]
| Downaug 2nd, Dim 3rd
| Downaug 2nd, Dim 3rd
| vA2, d3
| vA2, d3
Line 100: Line 105:
| 11
| 11
| 264
| 264
| 7/6
| [[7/6]]
| Updim 3rd, Aug 2nd
| Updim 3rd, Aug 2nd
| ^d3, A2
| ^d3, A2
Line 107: Line 112:
| 12
| 12
| 288
| 288
| 13/11
| [[13/11]]
| Downminor 3rd
| Downminor 3rd
| vm3
| vm3
Line 114: Line 119:
| 13
| 13
| 312
| 312
| 6/5
| [[6/5]]
| Minor 3rd
| Minor 3rd
| m3
| m3
Line 121: Line 126:
| 14
| 14
| 336
| 336
| 27/22, 39/32, 40/33, 49/40
| ''[[27/22]]'', [[39/32]], [[40/33]], ''[[49/40]]''
| Upminor 3rd
| Upminor 3rd
| ^m3
| ^m3
Line 128: Line 133:
| 15
| 15
| 360
| 360
| 16/13, 11/9
| [[16/13]], ''[[11/9]]''
| Downmajor 3rd
| Downmajor 3rd
| vM3
| vM3
Line 135: Line 140:
| 16
| 16
| 384
| 384
| 5/4
| [[5/4]]
| Major 3rd
| Major 3rd
| M3
| M3
Line 142: Line 147:
| 17
| 17
| 408
| 408
| 14/11
| [[14/11]]
| Upmajor 3rd
| Upmajor 3rd
| ^M3
| ^M3
Line 149: Line 154:
| 18
| 18
| 432
| 432
| 9/7
| [[9/7]]
| Downaug 3rd, Dim 4th
| Downaug 3rd, Dim 4th
| vA3, d4
| vA3, d4
Line 156: Line 161:
| 19
| 19
| 456
| 456
| 13/10
| [[13/10]]
| Updim 4th, Aug 3rd
| Updim 4th, Aug 3rd
| A3, ^d4
| A3, ^d4
Line 163: Line 168:
| 20
| 20
| 480
| 480
| 33/25, 55/42, 64/49
| [[33/25]], ''[[55/42]]'', ''[[64/49]]''
| Down 4th
| Down 4th
| v4
| v4
Line 170: Line 175:
| 21
| 21
| 504
| 504
| 4/3
| [[4/3]]
| Perfect 4th
| Perfect 4th
| P4
| P4
Line 177: Line 182:
| 22
| 22
| 528
| 528
| 15/11
| [[15/11]]
| Up 4th
| Up 4th
| ^4
| ^4
Line 184: Line 189:
| 23
| 23
| 552
| 552
| 11/8, 18/13
| [[11/8]], [[18/13]]
| Downaug 4th
| Downaug 4th
| vA4
| vA4
Line 191: Line 196:
| 24
| 24
| 576
| 576
| 7/5
| [[7/5]]
| Aug 4th
| Aug 4th
| A4
| A4
Line 198: Line 203:
| 25
| 25
| 600
| 600
| 63/44, 88/63, 78/55, 55/39
| ''[[63/44]]'', ''[[88/63]]'', [[78/55]], [[55/39]]
| Upaug 4th, Downdim 5th
| Upaug 4th, Downdim 5th
| ^A4, vd5
| ^A4, vd5
Line 205: Line 210:
| 26
| 26
| 624
| 624
| 10/7
| [[10/7]]
| Dim 5th
| Dim 5th
| d5
| d5
Line 212: Line 217:
| 27
| 27
| 648
| 648
| 16/11, 13/9
| [[16/11]], [[13/9]]
| Updim 5th
| Updim 5th
| ^d5
| ^d5
Line 219: Line 224:
| 28
| 28
| 672
| 672
| 22/15
| [[22/15]]
| Down 5th
| Down 5th
| v5
| v5
Line 226: Line 231:
| 29
| 29
| 696
| 696
| 3/2
| [[3/2]]
| Perfect 5th
| Perfect 5th
| P5
| P5
Line 233: Line 238:
| 30
| 30
| 720
| 720
| 50/33, 84/55, 49/32
| [[50/33]], ''[[84/55]]'', ''[[49/32]]''
| Up 5th
| Up 5th
| ^5
| ^5
Line 240: Line 245:
| 31
| 31
| 744
| 744
| 20/13
| [[20/13]]
| Downaug 5th, Dim 6th
| Downaug 5th, Dim 6th
| vA5, d6
| vA5, d6
Line 247: Line 252:
| 32
| 32
| 768
| 768
| 14/9
| [[14/9]]
| Updim 6th, Aug 5th
| Updim 6th, Aug 5th
| ^d6, A5
| ^d6, A5
Line 254: Line 259:
| 33
| 33
| 792
| 792
| 11/7
| [[11/7]]
| Downminor 6th
| Downminor 6th
| vm6
| vm6
Line 261: Line 266:
| 34
| 34
| 816
| 816
| 8/5
| [[8/5]]
| Minor 6th
| Minor 6th
| m6
| m6
Line 268: Line 273:
| 35
| 35
| 840
| 840
| 13/8, 18/11
| [[13/8]], ''[[18/11]]''
| Upminor 6th
| Upminor 6th
| ^m6
| ^m6
Line 275: Line 280:
| 36
| 36
| 864
| 864
| 44/27, 64/39, 33/20, 80/49
| ''[[44/27]]'', [[64/39]], [[33/20]], ''[[80/49]]''
| Downmajor 6th
| Downmajor 6th
| vM6
| vM6
Line 282: Line 287:
| 37
| 37
| 888
| 888
| 5/3
| [[5/3]]
| Major 6th
| Major 6th
| M6
| M6
Line 289: Line 294:
| 38
| 38
| 912
| 912
| 22/13
| [[22/13]]
| Upmajor 6th
| Upmajor 6th
| ^M6
| ^M6
Line 296: Line 301:
| 39
| 39
| 936
| 936
| 12/7
| [[12/7]]
| Downaug 6th, Dim 7th
| Downaug 6th, Dim 7th
| vA6, d7
| vA6, d7
Line 303: Line 308:
| 40
| 40
| 960
| 960
| 7/4
| [[7/4]]
| Updim 7th, Aug 6th
| Updim 7th, Aug 6th
| ^d7, A6
| ^d7, A6
Line 310: Line 315:
| 41
| 41
| 984
| 984
| 44/25
| [[44/25]]
| Downminor 7th
| Downminor 7th
| vm7
| vm7
Line 317: Line 322:
| 42
| 42
| 1008
| 1008
| 16/9, 9/5
| [[16/9]], [[9/5]]
| Minor 7th
| Minor 7th
| m7
| m7
Line 324: Line 329:
| 43
| 43
| 1032
| 1032
| 20/11
| [[20/11]]
| Upminor 7th
| Upminor 7th
| ^m7
| ^m7
Line 331: Line 336:
| 44
| 44
| 1056
| 1056
| 24/13, 11/6
| [[24/13]], [[11/6]]
| Downmajor 7th
| Downmajor 7th
| vM7
| vM7
Line 338: Line 343:
| 45
| 45
| 1080
| 1080
| 15/8, 28/15, 13/7
| [[15/8]], [[28/15]], [[13/7]]
| Major 7th
| Major 7th
| M7
| M7
Line 345: Line 350:
| 46
| 46
| 1104
| 1104
| 21/11
| ''[[21/11]]''
| Upmajor 7th
| Upmajor 7th
| ^M7
| ^M7
Line 352: Line 357:
| 47
| 47
| 1128
| 1128
| 40/21, 48/25, 25/13, 27/14
| ''[[40/21]]'', [[48/25]], [[25/13]], [[27/14]]
| Downaug 7th, Dim 8ve
| Downaug 7th, Dim 8ve
| vA7, d8
| vA7, d8
Line 359: Line 364:
| 48
| 48
| 1152
| 1152
| 52/27, 64/33, 35/18, 49/25, 108/55, 63/32
| ''[[52/27]]'', [[64/33]], [[35/18]],<br> ''[[49/25]]'', ''[[108/55]]'', ''[[63/32]]''
| Updim 8ve, Aug 7th
| Updim 8ve, Aug 7th
| ^d8, A7
| ^d8, A7
Line 366: Line 371:
| 49
| 49
| 1176
| 1176
| 88/45, 96/49, 55/28, 128/65, 65/33, 77/39, 180/91, 196/99, 99/50, 240/121, 336/169
| ''[[88/45]]'', [[96/49]], [[55/28]], [[128/65]],<br> [[65/33]], [[77/39]], [[180/91]], [[196/99]],<br> [[99/50]], [[240/121]], ''[[336/169]]''
| Down 8ve
| Down 8ve
| v8
| v8
Line 373: Line 378:
| 50
| 50
| 1200
| 1200
| 2/1
| [[2/1]]
| Perfect 8ve
| Perfect 8ve
| P8
| P8
| D
| D
|}
|}
<references group="note" />


== Notation ==
== Notation ==
=== Ups and downs notation ===
=== Stein–Zimmermann–Gould notation ===
Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud.
50edo can be notated with [[Stein–Zimmermann–Gould notation]]:
{{sharpness-sharp3a}}
{{Sharpness-sharp3-szg}}


Using [[Helmholtz–Ellis]] accidentals, 50edo can also be notated using [[Alternative symbols for ups and downs notation#Sharp-3|alternative ups and downs]]:
{{Sharpness-sharp3}}
Here, a sharp raises by three steps, and a flat lowers by three steps, so arrows can be used to fill in the gap. If the arrows are taken to have their own layer of enharmonic spellings, some notes may be best spelled with double arrows.
Here, a sharp raises by three steps, and a flat lowers by three steps, so arrows can be used to fill in the gap. If the arrows are taken to have their own layer of enharmonic spellings, some notes may be best spelled with double arrows.
=== Kite's ups and downs notation ===
Spoken as up, downsharp, sharp, upsharp, etc. Note that downsharp can be respelled as dup (double-up), and upflat as dud.
{{Ups and downs sharpness}}


=== Sagittal notation ===
=== Sagittal notation ===
This notation uses the same sagittal sequence as EDOs [[57edo#Sagittal notation|57]], [[64edo#Sagittal notation|64]], and [[71edo#Second-best fifth notation|71b]].
This notation uses the same sagittal sequence as edos [[57edo #Sagittal notation|57]], [[64edo #Sagittal notation|64]], and [[71edo #Second-best fifth notation|71b]].


==== Evo flavor ====
==== Evo flavor ====
Line 411: Line 419:
</imagemap>
</imagemap>


In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this EDO.
In the diagrams above, a sagittal symbol followed by an equals sign (=) means that the following comma is the symbol's [[Sagittal notation#Primary comma|primary comma]] (the comma it ''exactly'' represents in JI), while an approximately equals sign (≈) means it is a secondary comma (a comma it ''approximately'' represents in JI). In both cases the symbol exactly represents the tempered version of the comma in this edo.


== Approximation to JI ==
== Approximation to JI ==
Line 418: Line 426:
=== 15-odd-limit interval mappings ===
=== 15-odd-limit interval mappings ===
{{Q-odd-limit intervals|50|15}}
{{Q-odd-limit intervals|50|15}}
=== Zeta peak index ===
{{ZPI
| zpi = 238
| steps = 49.9385162652878
| step size = 24.0295485277387
| tempered height = 6.655352
| pure height = 4.773808
| integral = 1.111229
| gap = 15.942083
| octave = 1201.47742638693
| consistent = 10
| distinct = 9
}}


== Regular temperament properties ==
== Regular temperament properties ==
Line 727: Line 721:
| Triaphonisma
| Triaphonisma
|}
|}
<references group="note" />


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
Line 829: Line 824:
|-
|-
| 5
| 5
| 23<br>(3\50)
| 23\50<br>(3\50)
| 552.0<br>(72.0)
| 552.0<br>(72.0)
| 11/8<br>(21/20)
| 11/8<br>(21/20)
Line 846: Line 841:
| [[Decic]]
| [[Decic]]
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 
== Octave stretch or compression ==
50edo's [[prime]]s 3, 5, 7, 17, 19, and 23 are all tuned flat and its 11 and 13 have close to no error, so 50edo can benefit from slight [[octave stretching]]. Some slightly stretched-octave tunings of 50edo include (least to most stretch): [[equal tuning|166ed10]], [[ed5|116ed5]], [[zpi|238zpi]] and [[ed12|179ed12]].


== Instruments ==
== Instruments ==
; Lumatone
; Lumatone


See [[Lumatone mapping for 50edo]]
See [[Lumatone mapping for 50edo]].
 


; Piano
; Piano
Line 863: Line 860:
* [https://www.youtube.com/watch?v=RnYqc0NKMLM "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=RnYqc0NKMLM "Ricercar a 3" from ''The Musical Offering'', BWV 1079] (1747) – rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=e6fMO-sue4Y "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) &ndash; rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=e6fMO-sue4Y "Contrapunctus 4" from ''The Art of Fugue'', BWV 1080] (1742–1749) &ndash; rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) &ndash; rendered by Claudi Meneghin (2024)
* [https://www.youtube.com/watch?v=M3wQu4UF1pg "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742–1749) &ndash; rendered by Claudi Meneghin (2024, organ sound rendering)
* [https://www.youtube.com/watch?v=qjb9DDM32Ic "Contrapunctus 11" from ''The Art of Fugue'', BWV 1080] (1742-1749) &mdash; rendered by Claudi Meneghin (2025, harpsichord sound rendering)
 
; {{W|David Belasco}}
* [https://www.youtube.com/shorts/WcExL9W2Gyc ''The Prettiest Little Song Of All''] (1908) - microtonal cover in 50edo by [[Bryan Deister]] (2025)


; {{W|Nicolaus Bruhns}}
; {{W|Nicolaus Bruhns}}
* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] &ndash; rendered by Claudi Meneghin (2023)
* [https://www.youtube.com/watch?v=yrM50pvmD5c ''Prelude in E Minor "The Great"''] &ndash; rendered by Claudi Meneghin (2023)
; {{W|John Bull (composer)|John Bull}}
* [https://www.youtube.com/watch?v=6RewllRJ5rU ''Fantasia «Ut Re Mi Fa Sol La»''] (late 1500s/early 1600s, from ''Fitzwilliam Virginal Book Vol.1 No.51'') – rendered by Claudi Meneghin (2026)
; {{w|Frédéric Chopin}}
* [https://www.youtube.com/shorts/7Bisk0I2H4o ''Prelude Op. 28, No. 7 in A major''] (1839), arranged for fortepiano, tuned into 50-edo – rendered by [[Claudi Meneghin]] (2025)
; {{W|Louis Couperin}}
* [https://www.youtube.com/shorts/NSzakO66Roc ''«La Piémontoise»''] (1658?) &ndash; rendered by Claudi Meneghin (2026)


; {{W|Gabriel Fauré}}
; {{W|Gabriel Fauré}}
* [https://www.youtube.com/watch?v=7djfrUlw2ck  ''Pavane'', op. 50] (1887) &ndash; arranged for harpsichord and rendered by Claudi Meneghin (2020)
* [https://www.youtube.com/watch?v=7djfrUlw2ck  ''Pavane'', op. 50] (1887) &ndash; arranged for harpsichord and rendered by Claudi Meneghin (2020)
; {{W|Toby Fox}}
* [https://www.youtube.com/shorts/ynz5XvJOHiE ''Piano that may not be played that well''] via ''{{W|Deltarune}} Chapters 3 + 4'' (2025) (microtonal cover in 50edo) by [[Bryan Deister]] (2025)
; {{W|Iyowa}}
* [https://www.youtube.com/shorts/L6jF5_HEGkM ''Heat Abnormal''] (2024) - microtonal cover in 50edo by [[Bryan Deister]] (2025)


; {{W|Akira Kamiya}}
; {{W|Akira Kamiya}}
* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) &ndash; rendered by MortisTheneRd (2024)
* [https://www.youtube.com/watch?v=5UnPAhRqmb4 ''funfunfun ta yo''] (2007) &ndash; rendered by MortisTheneRd (2024)
; {{W|Laufey_(singer)|Laufey}}
* [https://www.youtube.com/shorts/J34qt45jZW4 ''Snow White''] (2025) - microtonal cover in 50edo by [[Bryan Deister]] (2025)
; {{W|Wolfgang Amadeus Mozart}}
* [https://www.youtube.com/watch?v=YK_kFs4PL2g&list=WL&index=347 ''Gigue KV 574 («Leipziger Gigue»)''] (1789) – rendered by Claudi Meneghin (2026)
; {{W|Akiko Shikata}}
* [https://www.youtube.com/shorts/eXGcC52YMh8 ''Mother''] via ''{{W|Umineko_When_They_Cry|Umineko no Naku Koro ni}}'' (2007) - microtonal cover in 50edo by [[Bryan Deister]] (2026)


=== 21st century===
=== 21st century===
; [[Bryan Deister]]
; [[Bryan Deister]]
* [https://www.youtube.com/shorts/zCsc5n6dr_I ''microtonal improv in 50edo''] (2024)
* [https://www.youtube.com/shorts/zCsc5n6dr_I ''microtonal improv in 50edo''] (2024)
* [https://www.youtube.com/shorts/dAyMY-14yZo ''50edo improv''] (2025-10-13)
* [https://www.youtube.com/shorts/DIiLORDPfUI ''50edo improv''] (2026-05-25)
* [https://www.youtube.com/watch?v=LqzPpl01WXc ''Fantasy in 50edo''] (2026)


; [[Francium]]
; [[Francium]]
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; [[Claudi Meneghin]]
; [[Claudi Meneghin]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Meneghin/Claudi-Meneghin-Twinkle-canon-50-edo.mp3 Twinkle canon &ndash; 50 edo] {{dead link}}
* [https://www.youtube.com/watch?v=Zh2jWoIXAf8 ''La Petite Poule Grise - Fugue''] (2014, uploaded 2019)
* [https://www.youtube.com/shorts/IhKVro5YEcA ''Canon on «Twinkle Twinkle Little Star» in 50-edo, for Organ''] (≤2014, restored and re-hosted 2025)
* [https://www.youtube.com/watch?v=TRXy0FJOKIA ''Fugue on the Dragnet theme''] (2014)
* [https://www.youtube.com/watch?v=wcTVED9zFrU ''Blue Fugue for Organ''] (2018)
* [https://www.youtube.com/watch?v=wcTVED9zFrU ''Blue Fugue for Organ''] (2018)
* [https://www.youtube.com/watch?v=Zh2jWoIXAf8 ''La Petite Poule Grise - Fugue''] (2019)
* [https://www.youtube.com/watch?v=28x3vqw9kDI ''Happy Birthday Canon'', 6-in-1 Canon in 50edo] (2019)
* [https://www.youtube.com/watch?v=28x3vqw9kDI ''Happy Birthday Canon'', 6-in-1 Canon in 50edo] (2019)
* [https://www.youtube.com/watch?v=szUpO3FAOes ''Fantasia Catalana''] (2020)
* [https://www.youtube.com/watch?v=szUpO3FAOes ''Fantasia Catalana''] (2020)
* [https://www.youtube.com/watch?v=38UMa3oWSIE ''Preludi Nocturn i Fuga sobre la Lluna la Pruna''] (2020)
* [https://www.youtube.com/watch?v=38UMa3oWSIE ''Preludi Nocturn i Fuga sobre la Lluna la Pruna''] (2020)
* [https://www.youtube.com/watch?v=TRXy0FJOKIA ''Fugue on the Dragnet theme''] (2020)
* [https://www.youtube.com/watch?v=C4EkNEu4EeU ''Canon at the Semitone on The Mother's Malison Theme'', for Organ] (2022)
* [https://www.youtube.com/watch?v=C4EkNEu4EeU ''Canon at the Semitone on The Mother's Malison Theme'', for Organ] (2022)
* [https://www.youtube.com/watch?v=FyDKSjS9Qtg ''Fugue on an Original Theme'', for Baroque Ensemble] (2023) ([https://www.youtube.com/watch?v=TXwlLV2TCsw for Organ])
* [https://www.youtube.com/watch?v=FyDKSjS9Qtg ''Fugue on an Original Theme'', for Baroque Ensemble] (2023) ([https://www.youtube.com/watch?v=TXwlLV2TCsw for Organ])
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* [https://www.youtube.com/watch?v=TBxDmpM9Xa8 ''Canon in C='' for Baroque Wind Ensemble] (2023)
* [https://www.youtube.com/watch?v=TBxDmpM9Xa8 ''Canon in C='' for Baroque Wind Ensemble] (2023)
* [https://www.youtube.com/watch?v=sIr394fGEEg ''Fantasia Catalana'', for Baroque Ensemble] (2023)
* [https://www.youtube.com/watch?v=sIr394fGEEg ''Fantasia Catalana'', for Baroque Ensemble] (2023)
* ''Chord Progression: The Octave Divided into Five Parts in 50 edo'' (intended for demonstrating chord progressions, as the title indicates, but actually works as a short composition)
** [https://www.youtube.com/shorts/7_kROtWc4Sw <nowiki>organ rendition</nowiki>] (2023)
** [https://www.youtube.com/shorts/qsuM1sA2-A0 <nowiki>harpsichord rendition</nowiki>] (2024)
* [https://www.youtube.com/shorts/2x5atFuN6WA ''Baroque Blues - 4-Part Fugue for Baroque Consort''] (2026)
* ''Fugue on the French Lullaby «La Petite Poule Grise»'' (2026)
** [https://www.youtube.com/watch?v=RrsZ-bzf1mE Baroque ensemble rendition]
** [https://www.youtube.com/watch?v=wgsWzn_vfIM organ rendition]


; [[Cam Taylor]]
; [[Cam Taylor]]
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* [https://www.dropbox.com/sh/4x81rzpkot32qzk/MQ3cJljjkh 50EDO Theory - Intervals, Chords and Scales in 50EDO by Cam Taylor]{{Dead link}}
* [https://www.dropbox.com/sh/4x81rzpkot32qzk/MQ3cJljjkh 50EDO Theory - Intervals, Chords and Scales in 50EDO by Cam Taylor]{{Dead link}}
* [http://iamcamtaylor.wordpress.com/ iamcamtaylor - Blog on 50EDO and extended meantone theory by Cam Taylor]     
* [http://iamcamtaylor.wordpress.com/ iamcamtaylor - Blog on 50EDO and extended meantone theory by Cam Taylor]     
== Notes ==
<references group="note" />


[[Category:50edo]]
[[Category:50edo]]
Retrieved from "https://en.xen.wiki/w/50edo"